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An elliptic singularly perturbed problem with two parameters II: Robust finite element solution |
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| Authors: | Lj. Teofanov H.-G. Roos |
| Affiliation: | 1. Department for Fundamental Disciplines, Faculty of Technical Sciences, University of Novi Sad, Trg D.Obradovi?a 6, 21000 Novi Sad, Serbia;2. Institute of Numerical Mathematics, Technical University of Dresden, Dresden D-01062, Germany |
| Abstract: | In this paper we consider a singularly perturbed elliptic model problem with two small parameters posed on the unit square. The problem is solved numerically by the finite element method using piecewise linear or bilinear elements on a layer-adapted Shishkin mesh. We prove that method with bilinear elements is uniformly convergent in an energy norm. Numerical results confirm our theoretical analysis. |
| Keywords: | 35J25 65N30 65N15 76R99 |
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